46805528672249 has 2 divisors, whose sum is σ = 46805528672250. Its totient is φ = 46805528672248.

The previous prime is 46805528672237. The next prime is 46805528672257. The reversal of 46805528672249 is 94227682550864.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29762131099024 + 17043397573225 = 5455468^2 + 4128365^2 .

It is a cyclic number.

It is not a de Polignac number, because 46805528672249 - 2³⁶ = 46736809195513 is a prime.

It is not a weakly prime, because it can be changed into another prime (46805528672209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23402764336124 + 23402764336125.

It is an arithmetic number, because the mean of its divisors is an integer number (23402764336125).

Almost surely, 2^{46805528672249} is an apocalyptic number.

It is an amenable number.

46805528672249 is a deficient number, since it is larger than the sum of its proper divisors (1).

46805528672249 is an equidigital number, since it uses as much as digits as its factorization.

46805528672249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 464486400, while the sum is 68.

The spelling of 46805528672249 in words is "forty-six trillion, eight hundred five billion, five hundred twenty-eight million, six hundred seventy-two thousand, two hundred forty-nine".